# Let f :

Question:

Let $f:\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \rightarrow A$ be defined by $f(x)=\sin x$. If $f$ is a bijection, write set $A$.

Solution:

$\because f$ is a bijection,

co-domain of $f=$ range of $f$

As $-1 \leq \sin x \leq 1$

$-1 \leq y \leq 1$

So, $A=[-1,1]$